The equation \(\frac{x+100}{1+\frac{100x}{100^2}}\) simplifies to 100, as confirmed by Wolfram Alpha. The user demonstrated the simplification process by multiplying the equation by \(\frac{100}{100}\) to facilitate factoring. The final steps involved rewriting the equation as \(\frac{100(x+100)}{100+x}\), which clearly shows that the expression simplifies to 100 regardless of the value of x.
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tahayassen said:Homework Statement
\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } }
Homework Equations
The Attempt at a Solution
Wolfram Alpha somehow managed to simplify the equation to just simply 100. Here's my attempt:
\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } \\ =\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } *\frac { 100 }{ 100 } \\ =\frac { 100x+{ 100 }^{ 2 } }{ 100+x }
micromass said:Can you factorize the numerator?? Can you write it as 100+x times some number?